Evolving fuzzy CP^n and lattice n-simplex
High Energy Physics - Theory
2009-11-10 v4
Abstract
Generalizing the previous works on evolving fuzzy two-sphere, I discuss evolving fuzzy CP^n by studying scalar field theory on it. The space-time geometry is obtained in continuum limit, and is shown to saturate locally the cosmic holographic principle. I also discuss evolving lattice n-simplex obtained by `compactifying' fuzzy CP^n. It is argued that an evolving lattice n-simplex does not approach a continuum space-time but decompactifies into an evolving fuzzy CP^n.
Keywords
Cite
@article{arxiv.hep-th/0406167,
title = {Evolving fuzzy CP^n and lattice n-simplex},
author = {Naoki Sasakura},
journal= {arXiv preprint arXiv:hep-th/0406167},
year = {2009}
}
Comments
Typos corrected, 13 pages, no figures, LaTeX